Some Ornstein-Uhlenbeck potentials for the one-dimensional Schrödinger operator part II: position-dependent drift
| dc.creator | Cambronero, Santiago | |
| dc.date.accessioned | 2015-05-19T18:29:27Z | |
| dc.date.available | 2015-05-19T18:29:27Z | |
| dc.date.issued | 2009-02-20 00:00:00 | |
| dc.date.updated | 2015-05-19T18:29:27Z | |
| dc.description.abstract | Se considera el operador de Schr¨odinger en el c´?rculo unitario, con un potencial detipo Ornstein – Uhlenbeck, cuyo factor tendencial depende de la posici´on. Se describela distribuci´on del primer valor propio peri´odico, usando el movimiento brownianocircular. Los resultados expuestos aqu´?, han sido mencionados, pero no demostrados,en [7].Palabras clave: Operador de Schr¨odinger, proceso de Ornstein – Uhlenbeck, estadoperi´odico, movimiento browniano circular. | |
| dc.description.abstract | We consider the Schr¨odinger operator on the unit circle, whose potential is anOrnstein – Uhlenbeck type process, with drift depending on its position. We describethe distribution of the periodic groundstate, based on the circular brownian motionmeasure. The results exposed here, have been mentioned, but not proved, in [7].Keywords: Schr¨odinger Operator, Ornstein – Uhlenbeck Process, Periodic Groundstate,Circular Brownian Motion. | |
| dc.format.extent | 31-38 | |
| dc.identifier.citation | http://revistas.ucr.ac.cr/index.php/matematica/article/view/214 | |
| dc.identifier.doi | https://doi.org/10.15517/rmta.v9i2.214 | |
| dc.identifier.issn | ||
| dc.identifier.uri | https://hdl.handle.net/10669/12856 | |
| dc.language.rfc3066 | es | |
| dc.relation.ispartof | Revista de Matemática: Teoría y Aplicaciones Vol. 9 Núm. 2 2009 | |
| dc.title | Some Ornstein-Uhlenbeck potentials for the one-dimensional Schrödinger operator part II: position-dependent drift | |
| dc.title | Some Ornstein-Uhlenbeck potentials for the one-dimensional Schrödinger operator part II: position-dependent drift | |
| dc.type | artículo original |